CRYSTAL BASE AND Q-VERTEX OPERATORS

Authors
DATE E JIMBO M OKADO M
Citation
E. Date et al., CRYSTAL BASE AND Q-VERTEX OPERATORS, Communications in Mathematical Physics, 155(1), 1993, pp. 47-69
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
155
Issue
1
Year of publication
1993
Pages
47 - 69
Database
ISI
SICI code
0010-3616(1993)155:1<47:CBAQO>2.0.ZU;2-H
Abstract
The q-deformed vertex operators of Frenkel and Reshetikhin are studied in the framework of Kashiwara's crystal base theory. It is shown that the vertex operators preserve the crystal structure, and are naturall y labeled by the global crystal base. As an application the one point functions are calculated for the associated elliptic RSOS models, foll owing the scheme of Kang et al. developed for the trigonometric vertex models.